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The Su-Schrieffer-Heeger (SSH) model is fundamental in topological insulators and relevant to understanding higher-order topological phases. This study explores the relationship between the $n$-dimensional SSH model and its…

超导电性 · 物理学 2024-01-29 Feng Liu

The Su-Schrieffer-Heeger (SSH) chain is the reference model of a one-dimensional topological insulator. Its topological nature can be explained by the quantization of the Zak phase, due to reflection symmetry of the unit cell, or of the…

介观与纳米尺度物理 · 物理学 2023-10-12 Malte Röntgen , Xuelong Chen , Wenlong Gao , Maxim Pyzh , Peter Schmelcher , Vincent Pagneux , Vassos Achilleos , Antonin Coutant

We show that higher-order topological insulators can be created from usual square structure by twisting waveguides in each unit cell around the axis passing through the center of the unit cell, even without changing intracell distance…

光学 · 物理学 2024-06-28 Yaroslav V. Kartashov

In this work, we develop a systematical approach of constructing and classifying the model Hamiltonians for two-dimensional (2D) higher-order topological phase with corner zero energy states (CZESs). Our approach is based on the direct…

介观与纳米尺度物理 · 物理学 2023-09-20 Xun-Jiang Luo , Xiao-Hong Pan , Chao-Xing Liu , Xin Liu

$\mathbb{Z}$-classified topological phases lead to larger-than-unity topological states. However, these multiple topological states are only localized at the corners in nonlocal systems. Here, first, we rigorously prove that the multiple…

介观与纳米尺度物理 · 物理学 2025-01-07 Yimeng Sun , Linjuan Wang , Huiling Duan , Jianxiang Wang

We construct microscopical models of one-dimensional non-interacting topological insulators in all of the chiral universality classes. Specifically, we start with a deformation of the Su-Schrieffer-Heeger (SSH) model that breaks…

介观与纳米尺度物理 · 物理学 2023-03-01 Polina Matveeva , Tyler Hewitt , Donghao Liu , Kethan Reddy , Dmitri Gutman , Sam T. Carr

Two-dimensional (2D) model of a weak topological insulator with $N$-stacked Su-Schrieffer-Heeger (SSH) chain is studied. This study starts with a basic model with all the fundamental symmetries (chiral, time-reversal, and particle-hole)…

强关联电子 · 物理学 2023-09-06 Aayushi Agrawal , Jayendra N. Bandyopadhyay

Topological insulators are a new class of materials that have attracted significant attention in contemporary condensed matter physics. They are different from the regular insulators and they display novel quantum properties that also…

介观与纳米尺度物理 · 物理学 2020-06-19 Navketan Batra , Goutam Sheet

In this work, we theoretically study a modified Su-Schrieffer-Heeger (SSH) model in which each unit cell consists of three sites. Unlike existing extensions of the SSH model which are made by enlarging the periodicity of the…

介观与纳米尺度物理 · 物理学 2024-09-10 Mohammad Ghuneim , Raditya Weda Bomantara

We study second-order topological insulators and semimetals characterized by chiral symmetry. We investigate topological phase transitions of a model for construction of the two-dimensional second-order topological insulators protected only…

介观与纳米尺度物理 · 物理学 2019-12-06 Ryo Okugawa , Shin Hayashi , Takeshi Nakanishi

The Su-Schrieffer-Heeger (SSH) model, which captures the most striking transport properties of the conductive organic polymer $trans$-polyacetylene, provides perhaps the most basic model system supporting topological excitations. The…

量子气体 · 物理学 2017-05-12 Eric J. Meier , Fangzhao Alex An , Bryce Gadway

The Su-Schrieffer-Heeger (SSH) model describes a one-dimensional $Z_{2}$ topological insulator, which has two topological distinct phases corresponding to two different dimerizations. When spin-orbit coupling is introduced into the SSH…

强关联电子 · 物理学 2014-08-19 Zhongbo Yan , Shaolong Wan

The Su-Schrieffer-Heeger chain is a prototype example of a symmetry-protected topological insulator. Coupling it non-perturbatively to local thermal environments, either through the intercell or the intracell fermion tunneling elements,…

介观与纳米尺度物理 · 物理学 2024-09-11 Brett Min , Kartiek Agarwal , Dvira Segal

We predict pseudo topological insulators that have been previously overlooked. We determine some conditions under which robust pseudo topological edge states appear and illustrate our idea on the Su-Schrieffer-Heeger (SSH) model with extra…

强关联电子 · 物理学 2019-05-21 C. Yuce

The Su-Schrieffer-Heeger (SSH) model is a fundamental lattice model used to study topological physics. Here, we propose a new versatile one-dimensional (1D) lattice model that extends beyond the SSH model. Our 1D model breaks chiral…

介观与纳米尺度物理 · 物理学 2024-07-02 Qing Wang , Ning Hao

In this tutorial, we pedagogically review recent developments in the field of non-interacting fermionic phases of matter, focussing on the low energy description of higher-order topological insulators in terms of the Dirac equation. Our aim…

介观与纳米尺度物理 · 物理学 2021-06-14 Frank Schindler

We describe a protocol to read out the topological invariant of interacting 1D chiral models, based on measuring the mean chiral displacement of time-evolving bulk excitations. We present analytical calculations and numerical Matrix Product…

量子气体 · 物理学 2020-08-06 Andreas Haller , Pietro Massignan , Matteo Rizzi

Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes when the bulk of the system has a non-zero topological winding invariant. Recently, high-harmonic spectroscopy has been…

We study two coupled Su-Schrieffer-Heeger (SSH) chains system, which is shown to contain rich quantum phases associated with topological invariants protected by symmetries. In the weak coupling region, the system supports two non-trivial…

介观与纳米尺度物理 · 物理学 2017-09-14 Ci. Li , Sen. Lin , Gang. Zhang , Zhi. Song

Simple route of engineering topological phases for any desired value of winding and Chern numbers is found in the Su-Schrieffer-Heeger (SSH) model by adding a further neighbor hopping term of varying distances. It is known that the standard…

介观与纳米尺度物理 · 物理学 2023-05-19 Rakesh Kumar Malakar , Asim Kumar Ghosh
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